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Simplifying (y + -11)(x + 10) = xy Reorder the terms: (-11 + y)(x + 10) = xy Reorder the terms: (-11 + y)(10 + x) = xy Multiply (-11 + y) * (10 + x) (-11(10 + x) + y(10 + x)) = xy ((10 * -11 + x * -11) + y(10 + x)) = xy ((-110 + -11x) + y(10 + x)) = xy (-110 + -11x + (10 * y + x * y)) = xy Reorder the terms: (-110 + -11x + (xy + 10y)) = xy (-110 + -11x + (xy + 10y)) = xy (-110 + -11x + xy + 10y) = xy Add '-1xy' to each side of the equation. -110 + -11x + xy + -1xy + 10y = xy + -1xy Combine like terms: xy + -1xy = 0 -110 + -11x + 0 + 10y = xy + -1xy -110 + -11x + 10y = xy + -1xy Combine like terms: xy + -1xy = 0 -110 + -11x + 10y = 0 Solving -110 + -11x + 10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '110' to each side of the equation. -110 + -11x + 110 + 10y = 0 + 110 Reorder the terms: -110 + 110 + -11x + 10y = 0 + 110 Combine like terms: -110 + 110 = 0 0 + -11x + 10y = 0 + 110 -11x + 10y = 0 + 110 Combine like terms: 0 + 110 = 110 -11x + 10y = 110 Add '-10y' to each side of the equation. -11x + 10y + -10y = 110 + -10y Combine like terms: 10y + -10y = 0 -11x + 0 = 110 + -10y -11x = 110 + -10y Divide each side by '-11'. x = -10 + 0.9090909091y Simplifying x = -10 + 0.9090909091y
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